What is the Least Common Multiple of 27085 and 27099?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 27085 and 27099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27085 and 27099, than apply into the LCM equation.

GCF(27085,27099) = 1
LCM(27085,27099) = ( 27085 × 27099) / 1
LCM(27085,27099) = 733976415 / 1
LCM(27085,27099) = 733976415

Least Common Multiple (LCM) of 27085 and 27099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27085 and 27099. First we will calculate the prime factors of 27085 and 27099.

Prime Factorization of 27085

Prime Factorization of 27099

Now multiplying the highest exponent prime factors to calculate the LCM of 27085 and 27099.

LCM(27085,27099) = 5¹ × 5417¹ × 3² × 3011¹
LCM(27085,27099) = 733976415